According to the 24-year-old hotel heir, he and LiLo exchanged heated words at Art Basel last night in Miami. Then, a short while later, Barron was jumped and badly beaten up!

But were the incidents related?

Well, after reporting the assault to the police, Barron says he was confronted by LiLo again. He says she tracked him down and hit him with harsh words, basically claiming responsibility for the attack!

According to Barron, this is what she screamed at him:

"'You talk sh*t about me to my boyfriend, this is what you get."

Wow, we knew there was bad blood between these two families, but this is madness!

Lindsay has denied being around Barron when the violence ensued, but there is footage of the two of them arguing this morning!